Differences in the behaviors of continuous and discrete anisotropic diffusion equations for image processing

Yu Li You, M. Kaveh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Behavioral differences between continuous anisotropic diffusion and its discrete counterpart is presented, with an emphasis on backward diffusion. We found that a continuous backward diffusion is rotation-invariant, but may have stability problem. Its discrete counterpart, however, is rotation-variant, and is stable. It forms step edges around boundaries of regions identified by the convexity of the image intensity function, but edges aligned with the x and y axis may look smooth. And this edge formation process is susceptible to observational and numerical noise which may induce false edges or may alter the shape of the edges.

Original languageEnglish (US)
Title of host publicationIEEE International Conference on Image Processing
PublisherIEEE Comp Soc
Pages249-253
Number of pages5
Volume3
StatePublished - Dec 1 1998
EventProceedings of the 1998 International Conference on Image Processing, ICIP. Part 2 (of 3) - Chicago, IL, USA
Duration: Oct 4 1998Oct 7 1998

Other

OtherProceedings of the 1998 International Conference on Image Processing, ICIP. Part 2 (of 3)
CityChicago, IL, USA
Period10/4/9810/7/98

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